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Research Papers: Contact Mechanics

Thermomechanical Analysis of Elastoplastic Bodies in a Sliding Spherical Contact and the Effects of Sliding Speed, Heat Partition, and Thermal Softening

[+] Author and Article Information
W. Wayne Chen, Q. Jane Wang

Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208

J. Tribol 130(4), 041402 (Aug 06, 2008) (10 pages) doi:10.1115/1.2959110 History: Received January 18, 2008; Revised June 14, 2008; Published August 06, 2008

A thermomechanical analysis of elasto-plastic bodies is a necessary step toward the understanding of tribological behaviors of machine components subjected to both mechanical loading and frictional heating. A three-dimensional thermoelastoplastic contact model for counterformal bodies has been developed, which takes into account steady state heat flux, temperature-dependent strain hardening behavior, and interaction of mechanical and thermal loads. The fast Fourier transform and conjugate gradient method are the underlying numerical algorithms used in this model. Sliding of a half-space over a stationary sphere is simulated with this model. The friction-induced heat is partitioned into two bodies based on surface temperature distributions. In the simulation, the sphere is considered to be fully thermoelastoplastic, while the half-space is treated to be thermoelastic. Simulation results include surface pressure, temperature rise, and subsurface stress and plastic strain fields. The paper also studies the influences of sliding speed and thermal softening on contact behaviors for sliding speed ranging three orders of magnitude.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 4

Variation of the real contact area with respect to sliding velocity

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Figure 5

Circumferential stress σxx along the x axis in the surface corresponding to various sliding velocities

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Figure 6

Distributions of surface temperature rise along the x axis corresponding to various sliding velocities

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Figure 3

Contact pressure profiles along the x axis with respect to various sliding velocities

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Figure 2

Comparisons of the simulation results in the sphere using different analysis models: (a) pressure distribution along the x axis and (b) dimensionless von Mises stress along the depth

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Figure 1

Sliding contact of a moving half-space and a stationary sphere

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Figure 7

Dimensionless heat flux along the x axis corresponding to various sliding velocities

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Figure 8

Contours of the dimensionless von Mises, σvM∕σY, in the plane of y=0 at three sliding speeds: (a) Vs=5m∕s, (b) Vs=20m∕s, and (c) Vs=50m∕s

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Figure 9

Contours of the effective plastic strain, λ (%), in the plane of y=0 at three sliding speeds: (a) Vs=5m∕s, (b) Vs=20m∕s, and (c) Vs=50m∕s

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Figure 10

Variations of the maximum von Mises stress and maximum effective plastic strain as functions of the sliding speed

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Figure 11

Results with respect to various friction coefficients at the sliding speed of Vs=0.5m∕s. (a) effective plastic strain profiles along the depth, (b) equivalent von Mises stress profiles along the depth, and (c) contact pressure profiles along the x axis

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